jee-advanced 2017 Q38

jee-advanced · India · paper1 Circles Chord Length and Chord Properties

If a chord, which is not a tangent, of the parabola $y^2 = 16x$ has the equation $2x + y = p$, and midpoint $(h, k)$, then which of the following is(are) possible value(s) of $p$, $h$ and $k$?
[A] $p = -2, h = 2, k = -4$
[B] $p = -1, h = 1, k = -3$
[C] $p = 2, h = 3, k = -4$
[D] $p = 5, h = 4, k = -3$

If a chord, which is not a tangent, of the parabola $y^2 = 16x$ has the equation $2x + y = p$, and midpoint $(h, k)$, then which of the following is(are) possible value(s) of $p$, $h$ and $k$?

[A] $p = -2, h = 2, k = -4$

[B] $p = -1, h = 1, k = -3$

[C] $p = 2, h = 3, k = -4$

[D] $p = 5, h = 4, k = -3$

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